#### Solution for 7.0 is what percent of 11.8:

7.0:11.8*100 =

(7.0*100):11.8 =

700:11.8 = 59.322033898305

Now we have: 7.0 is what percent of 11.8 = 59.322033898305

Question: 7.0 is what percent of 11.8?

Percentage solution with steps:

Step 1: We make the assumption that 11.8 is 100% since it is our output value.

Step 2: We next represent the value we seek with {x}.

Step 3: From step 1, it follows that {100\%}={11.8}.

Step 4: In the same vein, {x\%}={7.0}.

Step 5: This gives us a pair of simple equations:

{100\%}={11.8}(1).

{x\%}={7.0}(2).

Step 6: By simply dividing equation 1 by equation 2 and taking note of the fact that both the LHS
(left hand side) of both equations have the same unit (%); we have

\frac{100\%}{x\%}=\frac{11.8}{7.0}

Step 7: Taking the inverse (or reciprocal) of both sides yields

\frac{x\%}{100\%}=\frac{7.0}{11.8}

\Rightarrow{x} = {59.322033898305\%}

Therefore, {7.0} is {59.322033898305\%} of {11.8}.

#### Solution for 11.8 is what percent of 7.0:

11.8:7.0*100 =

(11.8*100):7.0 =

1180:7.0 = 168.57142857143

Now we have: 11.8 is what percent of 7.0 = 168.57142857143

Question: 11.8 is what percent of 7.0?

Percentage solution with steps:

Step 1: We make the assumption that 7.0 is 100% since it is our output value.

Step 2: We next represent the value we seek with {x}.

Step 3: From step 1, it follows that {100\%}={7.0}.

Step 4: In the same vein, {x\%}={11.8}.

Step 5: This gives us a pair of simple equations:

{100\%}={7.0}(1).

{x\%}={11.8}(2).

Step 6: By simply dividing equation 1 by equation 2 and taking note of the fact that both the LHS
(left hand side) of both equations have the same unit (%); we have

\frac{100\%}{x\%}=\frac{7.0}{11.8}

Step 7: Taking the inverse (or reciprocal) of both sides yields

\frac{x\%}{100\%}=\frac{11.8}{7.0}

\Rightarrow{x} = {168.57142857143\%}

Therefore, {11.8} is {168.57142857143\%} of {7.0}.

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